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Solve: (2cos x – 1 = 0).

Solve: (2cos x – 1 = 0). A. ((frac{2pi}{3}, frac{4pi}{3})) B. ((frac{pi}{6}, frac{5pi}{6})) C. ((frac{pi}{5}, frac{2pi}{5})) D. ((frac{pi}{3},…
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Simplify (frac{1 – 2sqrt{5}}{2 + 3sqrt{2}}).

Simplify (frac{1 – 2sqrt{5}}{2 + 3sqrt{2}}). A. (14(2sqrt{2} + 6sqrt{5} – 4sqrt{10})) B. (frac{1}{14}(2 – 3sqrt{2} – 4sqrt{5}…
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A ball falls from a height of 18m above the ground. Find the speed with…

A ball falls from a height of 18m above the ground. Find the speed with which the ball…
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A man of mass 80kg stands in a lift. If the lift moves upwards with…

A man of mass 80kg stands in a lift. If the lift moves upwards with acceleration 0.5(ms^{-2}), calculate…
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A force 10N acts in the direction 060° and another force 6N acts in the…

A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find…
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A body of mass 10kg moving with a velocity of 5(ms^{-1}) collides with another body…

A body of mass 10kg moving with a velocity of 5(ms^{-1}) collides with another body of mass 15kg…
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Find the unit vector in the direction of (-2i + 5j).

Find the unit vector in the direction of (-2i + 5j). A. (frac{1}{sqrt{29}}(2i + 5j)) B. (frac{1}{sqrt{29}}(-2i +…
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Given that (r = 3i + 4j) and (t = -5i + 12j), find the…

Given that (r = 3i + 4j) and (t = -5i + 12j), find the acute angle between…
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A box contains 14 white balls and 6 black balls. Find the probability of first…

A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black…
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A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads.

A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads. A. (frac{1}{8}) B.…
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